GATE Practice Question and Answer
8Q: A,B,C can complete a work in 15,20 and 30 respectively.They all work together for two days then A leave the work,B and C work some days and B leaves 2 days before completion of that work.how many days required to complete the whole work? 1655 05b5cc690e4d2b4197774c45f
5b5cc690e4d2b4197774c45f- Show AnswerHide Answer
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Answer :
Explanation :
Given A,B,C can complete a work in 15,20 and 30 respectively. The total work is given by the LCM of 15, 20, 30 i.e, 60. A's 1 day work = 60/15 = 4 units B's 1 day work = 60/20 = 3 units C's 1 day work = 60/30 = 2 units (A + B + C) worked for 2 days = (4 + 3 + 2) 2 = 18 units Let B + C worked for x days = (3 + 2) x = 5x units C worked for 2 days = 2 x 2 = 4 units Then, 18 + 5x + 4 = 60 22 + 5x = 60 5x = 38 x = 7.6 Therefore, total number of days taken to complete the work = 2 + 7.6 + 2 = 11.6 = 11 3/5 days.
Q: 9 girls working 7 hours a day can complete a piece of work in 15 day. In how many days can 6 girls working for 9 hours a day, complete the same piece of work? 1655 05b5cc6b3e4d2b4197774d3c8
5b5cc6b3e4d2b4197774d3c8- 135/4 daysfalse
- 217.5 daystrue
- 319 3/4 daysfalse
- 437/3 daysfalse
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Answer : 2. "17.5 days"
Explanation :
Answer: B) 17.5 days Explanation: Let the number of days be 'p' As the work is same, we know that M1 x D1 x H1 = M2 x D2 x H2 Where M = Men, D = Days, H = Hours per day Here M1 = 9, D1 = 15, H1 = 7 M2 = 6, D2 = p, H2 = 9 => 9 x 15 x 7 = 6 x p x 9 => p = 35/2 = 17.5 days.
Q: Arun’s weight is 140% of Akhil’s weight. Nani’s weight is 90% of Shreyon’s weight. Shreyon’s weight is twice as much as Akhil’s. What percentage of Arun’s weight is Nani’s weight? 1654 05b5cc6b3e4d2b4197774d3f3
5b5cc6b3e4d2b4197774d3f3- 176%false
- 277%false
- 378%true
- 479%false
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Answer : 3. "78%"
Explanation :
Answer: C) 78% Explanation: Let Akhil's weight = p kg => Shreyon's weight = 2p kg Nani's weight = 0.9 x 2p = 1.8p kg => Arun's weight = 1.4p kg Required percentage = 1.4p1.8p x 100 = 77.8% ~= 78%
Q: Instrument used to measure oxygen? 1654 05b5cc655e4d2b4197774bd85
5b5cc655e4d2b4197774bd85- 1Aminometerfalse
- 2Respirometertrue
- 3Thaleometerfalse
- 4Galiometerfalse
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Answer : 2. "Respirometer"
Explanation :
Answer: B) Respirometer Explanation: A respirometer is a device used to measure the rate of respiration of a living organism by measuring its rate of exchange of oxygen and/or carbon dioxide.
Q: What value will come in place of question mark (?) in the number - series given below ? 4, 30, ?, 1440, 7195, 71940 1651 05b5cc6c4e4d2b4197774dca9
5b5cc6c4e4d2b4197774dca9- 1145true
- 2545false
- 3650false
- 4999false
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Answer : 1. "145"
Explanation :
Answer: A) 145 Explanation: 4 30 ? 1440 7195 71940 Here the given series follows a pattern of 4 4 x 10 - 10 = 30 30 x 5 - 5 = 145 145 x 10 - 10 = 1440 1440 x 5 - 5 = 7195 7195 x 10 - 10 = 71940 Hence, the missing number is 145
Q: Mohan spends 23% of an amount of money on an insurance policy, 33% on food, 19% on children’s education and 16% on recreation. He deposits the remaining amount of Rs. 504 in bank. How much amount does he spend on food and insurance policy together? 1651 05b5cc678e4d2b4197774c160
5b5cc678e4d2b4197774c160- 1Rs. 2326false
- 2Rs. 5876false
- 3Rs. 1741false
- 4Rs. 3136true
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Answer : 4. "Rs. 3136"
Explanation :
Answer: D) Rs. 3136 Explanation: Let total amount = Rs. P Total expenditure = (23 + 33 + 19 + 16)% of P = 91%ofP Remaining money = (100 - 91)% of P = 9% of P But given in the question that, 9% of P = 504 9p/100 = 504 => P = 50400/9 => P = Rs. 5600 Required money spent on Food & Insurance = 23 + 33 % = 56% of 5600 = 56 x 5600/100 = 56 x 56 = Rs. 3136
Q: Simplify 2392-21+8-72=?2 1651 05b5cc6b9e4d2b4197774d775
5b5cc6b9e4d2b4197774d775- 14false
- 25false
- 36true
- 49false
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Answer : 3. "6"
Explanation :
Answer: C) 6 Explanation: ?2 = 2×78-21+8+49-148= 57 - 21=36=> ? = ±6
Q: A train-A passes a stationary train B and a pole in 24 sec and 9 sec respectively. If the speed of train A is 48 kmph, what is the length of train B? 1650 05b5cc698e4d2b4197774c613
5b5cc698e4d2b4197774c613- 1200 mtstrue
- 2180 mtsfalse
- 3160 mtsfalse
- 4145 mtsfalse
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Answer : 1. "200 mts"
Explanation :
Answer: A) 200 mts Explanation: Length of train A = 48 x 9 x 5/18 = 120 mts Length of train B = 48 x 24 x 5/18 - 120 => 320 - 120 = 200 mts.

